Delaunay surfaces expressed in terms of a Cartan moving frame
Journal of Applied Analysis, ISSN: 1869-6082, Vol: 26, Issue: 1, Page: 153-160
2020
- 2Citations
- 118Usage
- 1Captures
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Metrics Details
- Citations2
- Citation Indexes2
- Usage118
- Downloads89
- Abstract Views29
- Captures1
- Readers1
Article Description
Delaunay surfaces are investigated by using a moving frame approach. These surfaces correspond to surfaces of revolution in the Euclidean three-space. A set of basic one-forms is defined. Moving frame equations can be formulated and studied. Related differential equations which depend on variables relevant to the surface are obtained. For the case of minimal and constant mean curvature surfaces, the coordinate functions can be calculated in closed form. In the case in which the mean curvature is constant, these functions can be expressed in terms of Jacobi elliptic functions.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85085655282&origin=inward; http://dx.doi.org/10.1515/jaa-2020-2012; https://www.degruyter.com/document/doi/10.1515/jaa-2020-2012/html; https://scholarworks.utrgv.edu/mss_fac/55; https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1054&context=mss_fac
Walter de Gruyter GmbH
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